POSITIVE SOLUTIONS FOR A NONLINEAR DISCRETE FRACTIONAL BOUNDARY VALUE PROBLEM WITH A P-LAPLACIAN OPERATOR

Donal O'Regan

doi:10.11948/20190051

POSITIVE SOLUTIONS FOR A NONLINEAR DISCRETE FRACTIONAL BOUNDARY VALUE PROBLEM WITH A P-LAPLACIAN OPERATOR

Donal O'Regan

Mathematics

Chongqing Normal University
Shandong University of Science and Technology

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

18 Citations (Scopus)

Abstract

In this paper using the monotone iterative technique we establish the existence and uniqueness of positive solutions for a nonlinear discrete fractional boundary value problem with a p-Laplacian operator. Also we discuss an iterative sequence which yields the approximate solution for this problem.

Original language	English (Ireland)
Pages (from-to)	1959-1972
Number of pages	14
Journal	Journal Of Applied Analysis And Computation
Volume	9
Issue number	5
DOIs	https://doi.org/10.11948/20190051
Publication status	Published - 1 Oct 2019

Keywords

Fractional difference equations
Iteration
P-Laplacian
Positive solutions

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title = "POSITIVE SOLUTIONS FOR A NONLINEAR DISCRETE FRACTIONAL BOUNDARY VALUE PROBLEM WITH A P-LAPLACIAN OPERATOR",

abstract = "In this paper using the monotone iterative technique we establish the existence and uniqueness of positive solutions for a nonlinear discrete fractional boundary value problem with a p-Laplacian operator. Also we discuss an iterative sequence which yields the approximate solution for this problem.",

keywords = "Fractional difference equations, Iteration, P-Laplacian, Positive solutions",

author = "Donal O'Regan",

year = "2019",

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N2 - In this paper using the monotone iterative technique we establish the existence and uniqueness of positive solutions for a nonlinear discrete fractional boundary value problem with a p-Laplacian operator. Also we discuss an iterative sequence which yields the approximate solution for this problem.

AB - In this paper using the monotone iterative technique we establish the existence and uniqueness of positive solutions for a nonlinear discrete fractional boundary value problem with a p-Laplacian operator. Also we discuss an iterative sequence which yields the approximate solution for this problem.

KW - Fractional difference equations

KW - Iteration

KW - P-Laplacian

KW - Positive solutions

UR - https://www.scopus.com/pages/publications/85073498723

U2 - 10.11948/20190051

DO - 10.11948/20190051

M3 - Article

VL - 9

SP - 1959

EP - 1972

JO - Journal Of Applied Analysis And Computation

JF - Journal Of Applied Analysis And Computation

IS - 5

ER -

POSITIVE SOLUTIONS FOR A NONLINEAR DISCRETE FRACTIONAL BOUNDARY VALUE PROBLEM WITH A P-LAPLACIAN OPERATOR

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Keywords

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